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This paper is concerned with estimating the column space of an unknown low-rank matrix $\boldsymbol{A}^{\star}\in\mathbb{R}^{d_{1}\times d_{2}}$, given noisy and partial observations of its entries. There is no shortage of scenarios where…

统计理论 · 数学 2022-09-13 Changxiao Cai , Gen Li , Yuejie Chi , H. Vincent Poor , Yuxin Chen

We present a Bayesian method for estimating instrumental noise parameters and propagating noise uncertainties within the global BeyondPlanck Gibbs sampling framework, and apply this to Planck Low Frequency Instrument (LFI) time-ordered…

In this paper, we present a wideband subspace estimation method that characterizes the signal subspace through its orthogonal projection matrix at each frequency. Fundamentally, the method models this projection matrix as a function of…

信息论 · 计算机科学 2021-11-29 J. Selva

We introduce a systematic approach that enables two robust methods for performing terahertz time-domain spectroscopy in reflection geometry. Using the Kramers-Kronig relations in connection to accurate experimental measurements of the…

光学 · 物理学 2025-01-03 Kasturie D. Jatkar , Tien-Tien Yeh , Matteo Pancaldi , Stefano Bonetti

Standard noise radars, as well as noise-type radars such as quantum two-mode squeezing radar, are characterized by a covariance matrix with a very specific structure. This matrix has four independent parameters: the amplitude of the…

信号处理 · 电气工程与系统科学 2022-08-10 David Luong , Bhashyam Balaji , Sreeraman Rajan

Accurately estimating the proportion of true signals among a large number of variables is crucial for enhancing the precision and reliability of scientific research. Traditional signal proportion estimators often assume independence among…

统计理论 · 数学 2026-05-15 Jingtian Bai , Xinge Jessie Jeng

In the analysis and control of discrete-time linear time-invariant systems, the spectral radius of the system state matrix plays an essential role. Usually, it is assumed that system matrices are known, from which the spectral radius can be…

最优化与控制 · 数学 2022-03-24 Liang Xu , Baiwei Guo , Giancarlo Ferrari-Trecate

We report a comprehensive theoretical analysis of the instability achievable by using phase modulation spectroscopy to lock a terahertz local oscillator to an absorptive reference consisting of the rotational transition of molecules at room…

原子物理 · 物理学 2025-02-20 W. F. McGrew , James Greenberg , Keisuke Nose , Brendan M. Heffernan , Antoine Rolland

Terahertz (THz) integrated sensing and communication (ISAC) enables simultaneous data transmission with Terabit-per-second (Tbps) rate and millimeter-level accurate sensing. To realize such a blueprint, ultra-massive antenna arrays with…

信息论 · 计算机科学 2024-03-27 Yongzhi Wu , Chong Han , Meixia Tao

We consider a setting, where the output of a linear dynamical system (LDS) is, with an unknown but fixed probability, replaced by noise. There, we present a robust method for the prediction of the outputs of the LDS and identification of…

机器学习 · 计算机科学 2018-08-06 Jakub Marecek , Tigran Tchrakian

Safety-critical navigation applications require that estimation errors be reliably quantified and bounded. This can be challenging for linear dynamic systems if the process noise or measurement errors have uncertain time correlation. In…

信号处理 · 电气工程与系统科学 2020-09-22 Omar Garcia Crespillo , Mathieu Joerger , Steve Langel

Power system cyber-physical uncertainties, including measurement ambiguities stemming from cyber attacks and data losses, along with system uncertainties introduced by massive renewables and complex dynamics, reduce the likelihood of…

机器学习 · 计算机科学 2025-02-17 Jianhua Pei , Jingyu Wang , Dongyuan Shi , Ping Wang

Quantum metrology and sensing seek advantage in estimating an unknown parameter of some quantum state or channel, using entanglement such as spin squeezing produced by one-axis twists or other quantum resources. In particular, qubit phase…

量子物理 · 物理学 2024-05-29 Tyler G. Thurtell , Akimasa Miyake

Spectrum sensing is a fundamental problem in cognitive radio. We propose a function of covariance matrix based detection algorithm for spectrum sensing in cognitive radio network. Monotonically increasing property of function of matrix…

人工智能 · 计算机科学 2012-02-21 Feng Lin , Robert C. Qiu , Zhen Hu , Shujie Hou , James P. Browning , Michael C. Wicks

Spectrum sensing, i.e., detecting the presence of primary users in a licensed spectrum, is a fundamental problem in cognitive radio. Since the statistical covariances of received signal and noise are usually different, they can be used to…

信息论 · 计算机科学 2016-09-08 Yonghong Zeng , Ying-Chang Liang

In this paper, we discuss a new technique for measuring transceiver noise, skew, and for the detection of uncompensated transceiver impairments. The method consists on the introduction of frequency domain notch or notches at the…

信号处理 · 电气工程与系统科学 2021-10-04 F. J. Vaquero-Caballero , D. J. Ives , S. J. Savory

Reconfigurable intelligent surface (RIS)-aided terahertz (THz)-band communications are promising enablers for future wireless networks. However, array densification at high frequencies introduces significant challenges in accurate channel…

信号处理 · 电气工程与系统科学 2025-05-16 Ahmad Dkhan , Simon Tarboush , Hadi Sarieddeen , Ibrahim Abou-Faycal , Tareq Y. Al-Naffouri

This paper studies the utility of techniques within uncertainty quantification, namely spectral projection and polynomial chaos expansion, in reducing sampling needs for characterizing acoustic metamaterial dispersion band responses given…

Ultrafast optical excitations trigger in materials a range of dynamics. An interesting range of dynamics is the ones that unfold within the picosecond timescale, corresponding to the THz frequency range. Within this short timescale, the…

光学 · 物理学 2023-09-27 Yingshu Yang , Stefano Dal Forno , Marco Battiato

Terahertz time-domain spectroscopy (THz-TDS) is a non-invasive, non-contact and label-free technique for biological and chemical sensing as THz-spectra is less energetic and lies in the characteristic vibration frequency regime of proteins…

光学 · 物理学 2020-07-01 Subham Adak , Laxmi Narayan Tripathi